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1333104120096 = 253713714480189
BaseRepresentation
bin10011011001100011001…
…100101001000100100000
311201102222022120222212020
4103121203030221010200
5133320144123320341
62500230343501440
7165212364025140
oct23314314510440
94642868528766
101333104120096
11474403581631
12196445a57880
13989325ca998
1448745d80920
1524a2530d566
hex13663329120

1333104120096 has 96 divisors (see below), whose sum is σ = 4028504699520. Its totient is φ = 378106669056.

The previous prime is 1333104120091. The next prime is 1333104120149. The reversal of 1333104120096 is 6900214013331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1333104120091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7148031 + ... + 7332158.

It is an arithmetic number, because the mean of its divisors is an integer number (41963590620).

Almost surely, 21333104120096 is an apocalyptic number.

1333104120096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1333104120096 is an abundant number, since it is smaller than the sum of its proper divisors (2695400579424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1333104120096 is a wasteful number, since it uses less digits than its factorization.

1333104120096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14480346 (or 14480338 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The spelling of 1333104120096 in words is "one trillion, three hundred thirty-three billion, one hundred four million, one hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 137 168 224 274 336 411 548 672 822 959 1096 1644 1918 2192 2877 3288 3836 4384 5754 6576 7672 11508 13152 15344 23016 30688 46032 92064 14480189 28960378 43440567 57920756 86881134 101361323 115841512 173762268 202722646 231683024 304083969 347524536 405445292 463366048 608167938 695049072 810890584 1216335876 1390098144 1621781168 1983785893 2432671752 3243562336 3967571786 4865343504 5951357679 7935143572 9730687008 11902715358 13886501251 15870287144 23805430716 27773002502 31740574288 41659503753 47610861432 55546005004 63481148576 83319007506 95221722864 111092010008 166638015012 190443445728 222184020016 333276030024 444368040032 666552060048 1333104120096